Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112608t |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-2632835246542848 = -1 · 212 · 39 · 175 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -3 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39756,3924736] |
[a1,a2,a3,a4,a6] |
Generators |
[14:1836:1] [150:1156:1] |
Generators of the group modulo torsion |
j |
-2327256659008/881731197 |
j-invariant |
L |
9.667717944933 |
L(r)(E,1)/r! |
Ω |
0.42831017784661 |
Real period |
R |
0.56429419863627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608o1 37536w1 |
Quadratic twists by: -4 -3 |